Optical conductivity of warm dense matter within a wide frequency range using quantum statistical and kinetic approaches

Previous papers on the quantum wakefield around an ion moving in a dense plasma have considered the collision frequency in the static approximation. In this work, we present the results of the dynamically screened ion potential taking into account the dynamical electron–ion collision frequency. The Lenard–Balescu dynamical collision frequency and various approximations to it are considered. As a main result of our investigation for the subsonic, sonic, and supersonic regimes, we find that the frequency dependence of collisions can be safely discarded if the electronic streaming velocity (relative to an ion) is comparable to or less than the electronic Fermi velocity.

ν_{normalei}^{normalRPA} (ω) = - \frac{i}{ω} \frac{ϵ_{0} n_{normali} Ω_{0}^{2}}{6 π^{2} e^{2} n_{normale} m_{normale}} \int_{0}^{\infty} d {italickk}^{6} {\overset{Φ}{true}}_{normalRPA}^{2} (k) S_{normali} (k) \times [ϵ_{normalRPA} (k, ω) - ϵ_{normalRPA} (k, 0)],

where

{\overset{Φ}{true}}_{normalRPA} (k) = ϕ_{normalei} (k) ϵ_{normalRPA}^{- 1} (k, 0)

is the statically screened e–i interaction potential with the electronic screening in the RPA. Equation (4) was obtained from Equation (3) by assuming that

ϵ_{normalRPA}^{- 1} (k, ω) \approx [Re ϵ_{normalRPA} (k, ω) - i Im ϵ_{normalRPA} (k, ω)] / {([], Re ϵ_{RPA} ((),, k, 0))}^{2}

, meaning |Re ϵ RPA ( k , ω )| 2 ≫ |Im ϵ RPA ( k , ω )| 2 .…”

Section: Mermin Dielectric Function With Dynamical Collision Frequencymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of the dynamical collision frequency on quantum wakefields

Moldabekov

Amirov

Ludwig

et al. 2019

“…The transport properties like electrical and thermal conductivities [1][2][3][4][5][6][7][8][9][10] are very important for the understanding of the behaviour of plasmas. The theoretical investigation of such quantities is of considerable importance for astrophysical problems and inertial confinement fusion (ICF).…”

Section: Introductionmentioning

confidence: 99%

Influence of dynamic screening on the conductivity of hydrogen plasma including electron–electron collisions

Shalenov

Dzhumagulova

Рамазанов

et al. 2019

We investigate the dynamical conductivity of dense hydrogen plasmas on the basis of the effective interaction potential (taking into account static or dynamic screening and diffraction effects). We apply a generalized Drude-Lorentz formula related to the dynamical conductivity with collision frequency. The influence of electron-ion collisions as well as the influence of both electron-ion and electron-electron collisions were taken into account via a renormalization factor. All calculations were performed on the basis of the effective potential with static or dynamic screening. K E Y W O R D Sdense plasma, dynamic interaction potential, dynamical collision frequency, dynamical conductivity, renormalization factor

“…[1,2] Numerical simulation of such experiments gives valuable additional information that cannot be obtained from measurements. Some of recent works comprise a kinetic approach [5] including a chemical picture model, [6,7] an average atom model, [8] a quantum statistical model, [9] and the Ioffe-Regel estimation. Various methods exist to obtain these properties at different regions of a phase diagram.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic, transport, and optical properties of dense silver plasma calculated using the GreeKuP code

Knyazev

Levashov

2018

The transport and optical properties of a dense silver plasma are calculated using our parallel GreeKuP code. The code uses the results of Vienna ab initio simulation package (VASP) as input information and is based upon the Kubo-Greenwood formula. The calculation is performed at the normal density 10.5 g/cm 3 and 3 kK ≤ T ≤ 20 kK. Under these conditions, the results are strongly influenced by the presence of the d-electrons in silver: the real part of dynamic electrical conductivity has a non-Drude shape, the temperature dependence of thermal conductivity is non-monotonic, and the Wiedemann-Franz law is violated. KEYWORDSGreeKuP code, Kubo-Greenwood formula, quantum molecular dynamics, transport and optical properties 1 2 COMPUTATIONAL TECHNIQUEOnly some of the issues concerning the computation technique will be discussed here. For more detailed descriptions, one may refer to our earlier paper [23] and earlier works. [16,17] Contrib. Plasma Phys.